I don't see how anyone is giving up the choice of how to access the Internet. Opposing Free Basics is opposing that choice. Free Basics is offering a new choice, and more choices is always a rationally better thing.
Nobody is giving up a choice at the moment, but if Free Basic becomes a thing, there won't be a choice in the future. That is the problem people have with it.
Almost everyday I hear people complaining about how Comcast/ATT have monopoly in the US and how they are exploiting the helplessness of people. How is FreeBasic any different?
For a lot of people, the only internet they will know will be the version that FB thinks is right for them.
This is less a question about choice, more about net neutrality.
About the Copenhagen Interpretation of Ethics, I am not knowledgeable enough to form an opinion yet. I'll get back to you on that.
In this case, choosing how to access the Internet.